[1] E. Celledoni, V. Grimm, R.I. McLachlan, D.I. McLaren, D. O'Neale, B. Owren and G.R.W. Quispel
Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method
J. Comput. Phys., vol. 231, pp. 6670—6789 (2012)
Preprint, Paper, BibTex×@article{number = 20,
author = {E.~Celledoni and V.~Grimm and R.I.~McLachlan and D.I.~McLaren and D.~O'Neale and B.~Owren and G.R.W.~Quispel},
title = {Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method},
journal = {J. Comput. Phys.},
volume = {231},
year = {2012},
pages = {6670--6789},
doi = {10.1016/j.jcp.2012.06.022},
url = {http://dx.doi.org/10.1016/j.jcp.2012.06.022},
}
[2] Volker Grimm
Resolvent Krylov subspace approximation to operator functions
BIT Numerical Mathematics, vol. 52, pp. 639—659 (2012)
Preprint, Paper, BibTex×@article{number = 3,
author = {Volker Grimm},
title = {Resolvent Krylov subspace approximation to operator functions},
journal = {BIT Numerical Mathematics},
volume = {52},
year = {2012},
pages = {639--659},
doi = {10.1007/s10543-011-0367-8},
url = {http://www.springerlink.com/content/r15850r38x156460/},
}
[3] Marlis Hochbruck and Alexander Ostermann
Exponential multistep methods of Adams-type
BIT, vol. 51, pp. 889-908 (2011)
Preprint, Paper, BibTex×@article{number = 4,
author = {Marlis Hochbruck and Alexander Ostermann},
title = {Exponential multistep methods of Adams-type},
journal = {BIT},
volume = {51},
pages = {889-908},
year = {2011},
doi = {10.1007/s10543-011-0332-6},
url = {http://www.springerlink.com/content/y7663431k7573224/},
}
[4] Martin Gugat and Volker Grimm
Optimal boundary control of the wave equation with pointwise control constraints
Comput. Optim. Appl., no. 1, pp. 123—147 (2011)
Preprint, Paper, BibTex×@article{GuGri09,
author = {Martin Gugat and Volker Grimm},
title = {Optimal boundary control of the wave equation with pointwise control constraints},
journal = {Comput. Optim. Appl.},
year = {2011},
number = {1},
pages = {123--147},
url = {http://dx.doi.org/10.1007/s10589-009-9289-7},
}
[5] M. Hochbruck and M. Hönig
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems
Numerische Mathematik, vol. 115, no. 1, pp. 71—79 (2010)
Preprint, Paper, BibTex×@article{HocH10,
author = {M. Hochbruck and M. H\"onig},
title = {On the convergence of a regularizing {L}evenberg-{M}arquardt scheme for nonlinear ill-posed problems},
year = {2010},
journal = {Numerische Mathematik},
volume = {115},
number = {1},
pages = {71--79},
doi = {10.1007/s00211-009-0268-9},
url = {http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00211-009-0268-9},
}
[6] Marlis Hochbruck and Alexander Ostermann
Exponential integrators
Acta Numerica, vol. 19, pp. 209-286 (2010)
Preprint (© Cambridge University Press), Paper, BibTex×@article{HocO10,
author = {Marlis Hochbruck and Alexander Ostermann},
title = {Exponential integrators},
journal = {Acta Numerica},
volume = {19},
pages = {209-286},
year = {2010},
doi = {10.1017/S0962492910000048},
url = {http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7701740&fulltextType=RA&fileId=S0962492910000048},
copyright = {Cambridge University Press},
}
[7] Marlis Hochbruck and Dominik Löchel
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics
SIAM Journal on Scientific Computing, vol. 32, no. 6, pp. 3151—3169 (2010)
Preprint, Paper, BibTex×@article{HocL10,
author = {Marlis Hochbruck and Dominik L\"ochel},
title = {A multilevel {J}acobi-{D}avidson method for polynomial PDE eigenvalue problems arising in plasma physics},
year = {2010},
journal = {SIAM Journal on Scientific Computing},
volume = {32},
number = {6},
pages = {3151--3169},
keywords = {Polynomial eigenvalue problem, pde eigenvalue problem, Jacobi-Davidson method, multilevel method, parameter dependent problem, optimal scaling, drift instabilities},
doi = {10.1137/090774604},
url = {http://link.aip.org/link/?SCE/32/3151},
}
[8] T. Tückmantel, A. Pukhov, J. Liljo and M. Hochbruck
Three-dimensional relativistic particle-in-cell hybrid code based on an exponential integrator
IEEE Transactions on Plasma Science, vol. 38, no. 9, pp. 2383-2389 (2010)
Preprint, Paper, BibTex×@article{TuePLH10,
author = {T. T\"uckmantel and A. Pukhov and J. Liljo and M. Hochbruck},
title = {Three-dimensional relativistic particle-in-cell hybrid code based on an exponential integrator},
year = {2010},
journal = {IEEE Transactions on Plasma Science},
volume = {38},
number = {9},
pages = {2383-2389},
doi = {10.1109/TPS.2010.2056706},
url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5535138},
}
[9] Volker Grimm and Martin Gugat
Approximation of semigroups and related operator functions by resolvent series
SIAM Journal on Numerical Analysis, vol. 48, no. 5, pp. 1826—1845 (2010)
Preprint, Paper, BibTex×@article{GriG10,
author = {Volker Grimm and Martin Gugat},
title = {Approximation of semigroups and related operator functions by resolvent series},
journal = {SIAM Journal on Numerical Analysis},
volume = {48},
number = {5},
year = {2010},
pages = {1826--1845},
doi = {10.1137/090768084},
url = {http://link.aip.org/link/?SNA/48/1826},
}
Please find additional papers on the personal website of our group members.
